Final answer:
The function that describes the given arithmetic sequence is f(n) = 6n - 5.
Step-by-step explanation:
The given sequence is 1, 7, 13, 19, 25, 31, ...
To find the function that describes this arithmetic sequence, we first need to determine the common difference. The common difference is the constant value that is added to each term to obtain the next term.
In this case, the common difference is 6, because each term is 6 greater than the previous term. So, the function that describes this arithmetic sequence is:
f(n) = 6n - 5